We first investigate some basic properties of dynamic equations on time scales,and propose contained curves to describe the jump direction of the discrete points.Then we perform qualitative analysis regarding the planar predator-prey systems on time scales,thereby obtain two theorems of this system.At last,we emulate application examples to discuss the parameters of the system.
Zhu Siming Li Yanhui (Math.and Computed Science Academy of Sun-Yatsen University,Guangzhou 510275) Rong Zhixin (IBM,Guangzhou 510620)
This paper is concerned with positive solutions and the structure of eigenvalue regions for a two-delay singular differential system with a twin-parameter.
We investigate the type of singularity and qualitative structure of solutions to a time-invariant linear dynamic system on time scales. The results truly unify the qualitative behaviors of the system on the continuous and discrete times with any step size.
Liuman Ou (Dept. of Math., Guangdong University of Business Studies, Guangzhou 510320, ) Siming Zhu (Dept. of Math., Zhongshan University, Guangzhou 510275)